Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities.

DOI10.1016/S0022-0396(03)00199-2zbMath1054.34051MaRDI QIDQ1424494

Jaume Giné, Jaume Llibre

Publication date: 14 March 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Integrability

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (10)

On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities ⋮ Integrability and limit cycles for a class of multi-parameter differential systems with unstable node point ⋮ Unnamed Item ⋮ The cubic polynomial differential systems with two circles as algebraic limit cycles ⋮ Integrability, degenerate centers, and limit cycles for a class of polynomial differential systems ⋮ Global structure of quaternion polynomial differential equations ⋮ On the integrable rational Abel differential equations ⋮ On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities ⋮ The cyclicity of period annuli for a class of cubic Hamiltonian systems with nilpotent singular points ⋮ Planar polynomial vector fields having first integrals and algebraic limit cycles

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